Let's divide 81906 by 51
We want to divide 81906 by 51.

Advancing to step 1:
If we divide 8 by 51, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 51

Moving on to step 2:
51 can be fit into 81 1 times, resulting in a remainder of 30.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 30 after subtracting 51 from 81.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 51

Step 3:
When dividing 309 by 51, we get 6 with a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we subtract 306 from 309, we get 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 51

Advancing to step 4:
30 divided by 51 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 160.0
Deduct 0 from 30 and we're left with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 51

Going ahead to step 5:
When dividing 306 by 51, we get 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 1606.0
If we subtract 306 from 306, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 6:
If we divide 0 by 51, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1606.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
51 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1606.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 1606.0 with a balance of 0.0.